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Finding the Fourth Proportional to 1,862.14, 2,792.49 and 766.21

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Solution

The fourth proportional to 1,862.14, 2,792.49 and 766.21 is: 1,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.14 : 2,792.49 = 766.21 : x
  2. Step 2: Convert to fraction form
    1,862.14/2,792.49 = 766.21/x
  3. Step 3: Cross multiply
    1,862.14x = 2,792.49 × 766.21
  4. Step 4: Simplify right side
    1,862.14x = 2,139,633.76
  5. Step 5: Solve for x
    x = 2,139,633.76/1,862.14
  6. Step 6: Final answer
    x = 1,149.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.